Atkin-Lehner |
2- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34840h |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
753658880 = 210 · 5 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 6 13- -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3216,-69124] |
[a1,a2,a3,a4,a6] |
j |
3593411145796/735995 |
j-invariant |
L |
3.803784285518 |
L(r)(E,1)/r! |
Ω |
0.63396404758823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680c1 |
Quadratic twists by: -4 |